Radius 4 Inches
16 inches
14 inches
Raymond built a rocket made from a cylinder and a cone. He filled the rocket completely with water: what is the maximum number of gallons of water the rocket can hold? Find your answer in terms of pie and using 3.14 for pie: (231 in^3 = 1 gallon)
To find the maximum number of gallons of water the rocket can hold, we need to find the volume of the cylinder and cone separately and then add them together.
Since the radius of the cylinder is 4 inches, the formula for the volume of a cylinder is V = π*r^2*h, where r is the radius and h is the height. Assuming the height of the cylinder is 16 inches, we can calculate the volume of the cylinder as follows:
V_cylinder = π*(4^2)*16
V_cylinder = 256π cubic inches
Next, let's calculate the volume of the cone. The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where r is the radius and h is the height. Assuming the height of the cone is 14 inches, we can calculate the volume of the cone as follows:
V_cone = (1/3) * π * (4^2) * 14
V_cone = (1/3) * 16 * 14 * π
V_cone = 224π cubic inches
Finally, we can add the volume of the cylinder and cone together to find the total volume of the rocket:
V_rocket = V_cylinder + V_cone
V_rocket = 256π + 224π
V_rocket = 480π cubic inches
To convert this volume into gallons, we can divide it by 231 (since 231 cubic inches is equal to 1 gallon):
Number of gallons = V_rocket / 231
Number of gallons = 480π / 231
Number of gallons ≈ 6.54π ≈ 20.53 gallons
Therefore, the maximum number of gallons of water the rocket can hold is approximately 20.53 gallons.